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Class 9 Mathematics: Circles
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MCQs on circles and its related terms, angles subtended by point chord and circle arc, equal chords and their distances from the centre, circles through three points and cyclic quadrilaterals.

Class 9 Mathematics: Circles
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25 Questions

1. From the diagram given, arc ABC is major arc.
2. How many circles can pass through three points which are not collinear?
3. What is the value of ∠PSQ in the given figure?
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5. Find the value of ∠QRS if RS || diameter PQ.
6. What is the value of ∠PQR if PQRS is cyclic quadrilateral and PS = SR?
7. A circle divides the plane into __________ parts.
8. From the figure given below, a quadrilateral ABCD is cyclic.
9. If a circle passes through three points which are collinear, the third point either lies outside or inside the circle.
10. Find the value of ∠PRQ from the given figure.
11. The collection of all the points in a plane, which are at a fixed distance from a fixed point in the plane, is called __________
12. What is the value of x if ∠AOC if ABCD is cyclic quadrilateral?
13. What is the length of AD if distance between centres of the two circles is 9cm?
14. Find the value of x if ABCD is a cyclic quadrilateral if ∠1 : ∠2 = 3 : 6.
15. What is the value of ∠PRQ if ∠PTS : ∠TPS = 5 : 3?
16. What is the value of ∠PRQ if angle POQ and reflex angle POQ are in the ratio 1 : 3?
17. Find the radius of circle if AB = 7cm, RS = 6cm and PQ = 8cm.
18. Find the measure of arc PAQ.
19. From the diagram given below, what is the relation between ∠BAC and ∠BCD?
maths-questions-answers-angle-subtended-arc-circle-q2
20. If RS is equal to the radius of circle, find the value of ∠PTQ.
21. Find the value of x and y if ABCD is cyclic quadrilateral.
22. From the diagram given below, if lengths of the chords AB and PQ are equal, then ∠AOB = ∠POQ.
maths-questions-answers-angle-subtended-chord-point-q2
23. From the diagram given below, if O is the centre of the circle and OL is perpendicular to chord AB, then which of the following is true?
<maths-questions-answers-angle-subtended-chord-point-q3
24. From the diagram given below, angle subtended by the chord AB at the centre is __________
maths-questions-answers-angle-subtended-chord-point-q1
25. What is the ratio of PQ/RS if OT is perpendicular to line l?

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